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Recurring Decimals Worksheet

Vedic maths trick 32: Recurring decimals (1/19, 3/29…) · Set 157 · 40 sums
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The trick (Ekadhikena Purvena): Denominator ending in 9: find the Ekadhika — one more than the digits before the 9 (19 → 2, 29 → 3, 39 → 4, 59 → 6). Start: the top number ÷ Ekadhika gives the first decimal digit and a remainder. Every next digit: put the remainder in front of the last digit and divide by the Ekadhika again.

NameDateTime takenScore ___ / 40
  1. 1.5/19 =
  2. 2.9/49 =
  3. 3.7/19 =
  4. 4.7/49 =
  5. 5.2/29 =
  6. 6.7/39 =
  7. 7.7/19 =
  8. 8.1/39 =
  9. 9.4/59 =
  10. 10.2/19 =
  11. 11.2/59 =
  12. 12.8/19 =
  13. 13.8/19 =
  14. 14.2/29 =
  15. 15.3/49 =
  16. 16.3/49 =
  17. 17.8/19 =
  18. 18.4/39 =
  19. 19.2/49 =
  20. 20.8/49 =
  21. 21.7/59 =
  22. 22.9/29 =
  23. 23.2/39 =
  24. 24.9/29 =
  25. 25.9/39 =
  26. 26.6/19 =
  27. 27.3/29 =
  28. 28.9/39 =
  29. 29.1/19 =
  30. 30.6/49 =
  31. 31.8/19 =
  32. 32.8/29 =
  33. 33.8/39 =
  34. 34.3/29 =
  35. 35.2/59 =
  36. 36.5/29 =
  37. 37.9/59 =
  38. 38.8/19 =
  39. 39.9/59 =
  40. 40.8/29 =

Answer key

  1. 0.263157
  2. 0.183673
  3. 0.368421
  4. 0.142857
  5. 0.068965
  6. 0.179487
  7. 0.368421
  8. 0.025641
  9. 0.067796
  10. 0.105263
  11. 0.033898
  12. 0.421052
  13. 0.421052
  14. 0.068965
  15. 0.061224
  16. 0.061224
  17. 0.421052
  18. 0.102564
  19. 0.040816
  20. 0.163265
  21. 0.118644
  22. 0.310344
  23. 0.051282
  24. 0.310344
  25. 0.230769
  26. 0.315789
  27. 0.103448
  28. 0.230769
  29. 0.052631
  30. 0.122448
  31. 0.421052
  32. 0.275862
  33. 0.205128
  34. 0.103448
  35. 0.033898
  36. 0.172413
  37. 0.152542
  38. 0.421052
  39. 0.152542
  40. 0.275862

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